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Simplifying 3mn3 + -9mn2 + -210mn = 0 Reorder the terms: -210mn + -9mn2 + 3mn3 = 0 Solving -210mn + -9mn2 + 3mn3 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3mn'. 3mn(-70 + -3n + n2) = 0 Factor a trinomial. 3mn((-7 + -1n)(10 + -1n)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + -1n)' equal to zero and attempt to solve: Simplifying -7 + -1n = 0 Solving -7 + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 0 + 7 -1n = 0 + 7 Combine like terms: 0 + 7 = 7 -1n = 7 Add 'n' to each side of the equation. -1n + n = 7 + n Combine like terms: -1n + n = 0 0 = 7 + n Simplifying 0 = 7 + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(10 + -1n)' equal to zero and attempt to solve: Simplifying 10 + -1n = 0 Solving 10 + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 0 + -10 -1n = 0 + -10 Combine like terms: 0 + -10 = -10 -1n = -10 Add 'n' to each side of the equation. -1n + n = -10 + n Combine like terms: -1n + n = 0 0 = -10 + n Simplifying 0 = -10 + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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